Tweeter excursion

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Think of it this way- the energy coming into the coil gives it an acceleration, more voltage ramps it up, but at higher frequencies the direction of travel reverses sooner than at lower frequencies, hence less travel. With a thousand times more time, that pipe organ bass note moves the diaphragm a whole lot more in each direction than your 20k shimmer of a brush on a cymbal.
 
I used ernperkins link.
 

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It's not that it is not fast enough, the principle would not change with an infinitely light diaphragm. It's spending less time moving forward, thus going less far. I'm afraid I should not have used accelerate instead of maybe impel or propel. Sorry.
 
simple physics approximation would use BL force product and moving mass to get accel/Ampere, pick a Amp limit from coil R and power spec

then x_ peak should be BL*A_pk / (vc_mass * w^2), w = radian frequency

wasted all the time before dinner looking for a units package in Python, numbers later
 
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~ 0.0002" for the ScanSpeak Revelator 1" numbers? (+/- a spherical cow)

of course a soft dome doesn't move as a single mass @20 kHz, but we could pretend, or look for Accuton numbers
from sympy.physics.units import speed_of_light, meter, gram, second
from sympy.physics.units import newton, kilogram, tesla, ampere
from sympy.physics.units import meter, centimeter, inch, watt, ohm
from sympy.physics.units import convert_to

df = convert_to(3.5 * meter * tesla / (0.45 * gram) / (2 * pi * 20e3/second)**2, [meter, ampere])

df.evalf(2)
4.9e-7*meter/ampere

so the next question is how many continuous A @20 kHz if the 225 W spec was believable

convert_to(df * (2 * 225 * watt/4.7/ohm)**0.5, meter).evalf(2)
4.8e-6*meter**1.0

convert_to(df * (2 * 225 * watt/4.7/ohm)**0.5, inch).evalf(2)
0.00019*inch**1.0

sympy v 1.1.1
 
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It's not that it is not fast enough, the principle would not change with an infinitely light diaphragm. It's spending less time moving forward, thus going less far. I'm afraid I should not have used accelerate instead of maybe impel or propel. Sorry.
Mmm, I don't quite get that, doesn't that imply the same thing, ie, it's not fast enough to realise the full peak to peak signal?
 
If the frequency response is flat the excursion will be the same at all frequencies. The baffle dimension is of little relevance at 20kHz

The higher the frequency, the less excursion for the same spl is needed. You will burn the coil long before you make it swing maximally.
I thought that for the same SPL the extension was inversely proportional to the frequency.
i.e. double the frequency results in half the excursion.

If that is true and the treble unit has 0.5mm Xmax for use at 2kHz, then @ 20kHz it would be using only 0.05mm of excursion for the same SPL.
This would fit with CalW's 0.05mm inspired guess.
 
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1" direct radiator tweeters may not be too useful - check out the sound wavelength compared to your 'small chamber' dimensions

20 kHz 1/4 wave is ~ 0.16", above that and you are getting transmisson line effects, reflections, standing waves...

look at compression drivers - the phase plug is needed to get even ~ flat (or spherical cap) wavefront across the opening
 
If you go with a metal dome tweeter, especially a cheap one, it will have a savage resonance somewhere between 24KHz and 30kHz if you tune to this frequency you will get much more acoustic output for the electrical energy input. Also if this experiment is for children you need to get above 22KHz or some of them might be able to hear it.
 
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